Question

5. In many sports, children born in the early months of the leader varet noticed by their coaches beca of the superiority they demonstrate due to their name. The following table give the position to all Canadian players born since 1951 in the National Law (NHL) given the player's birth month (Data from Addona, V., and Yates P.A (2010) Fffert in the National A Look at the Relative Age Effect in the a Hockey League," Journal of Quantitative Analysis in Sports, 6(6).) Position osition Jan. Feb. Mar n 178 190 TM 79 71 81 31 31 23 Apr May Jun 176 137 70 6 7 34 25 326 Jul Aug Sep 12 119 B 61 56 45 17 2 1 22 Oct Nov 122 9 50 56 17 22 Dec. 9 7 45 9 Defensemen Goalies Is there enough evidence to conclude that the relationship between a player's position in the NHL and their month of birth? Includes test of semificance of the results are significant, report where the significant differences are

Answer 1

This is chi-square test of independence

data

178 190 164 176 169 137 112 119 138 122 98 97
79 71 81 86 79 67 61 56 45 50 56 45
31 31 23 34 25 36 17 21 22 17 22 9

Chi-square Value: 22.465669375556 Degrees of Freedom: 22 P value: 0.43240565593

TS = 22.4657

p-value = 0.4324

since p-value > alpha

we fail to reject the null hypothesis

we conclude that there is not sufficient evidence of a relationship between player's position and month of birth